Question

At the farm, Justin picks 3 bushels of fruits. The bushels weigh 8 1/4 pounds, 6 1/2 pounds, and 6 5/8 pounds. What is the average weight per bushel?

Answer 1

ANSWER

$Average \: Weight = 7 \frac{1}{8} \: bushels$


EXPLANATION

To find the average weight per bushel, we add all the three weight and divide by 3.


$Average \: Weight = \frac{8 \frac{1}{4} + 6 \frac{1}{2} + 6 \frac{5}{8} }{3}$


We convert all the mixed numbers to improper fraction to obtain,


$Average \: Weight = \frac{ \frac{33}{4} + \frac{13}{2} + \frac{53}{8} }{3}$


The least common denominator for the fractions in the numerator is 8.


This implies that,

$Average \: Weight = \frac{ \frac{66 + 52 + 53}{8} }{3}$

This simplifies to


$Average \: Weight = \frac{ \frac{171}{8} }{3}$


This gives us,

$Average \: Weight = \frac{171}{24}$



$Average \: Weight = \frac{57}{8}$


$Average \: Weight = 7 \frac{1}{8}$